Quantum non-demolition measurement of microwave photons using engineered quadratic interactions

preprint2010arXivOpen access

Abstract

We present a quantum electrical circuit with Josephson junctions formed of two anharmonic oscillators coupled with an interaction gγ12γ22gγ_{1}^{2}γ_{2}^{2} where γ1γ_{1} and γ2γ_{2} are position-like coordinates. This type of coupling allows the quantum non-demolition measurement of the energy of one oscillator by monitoring the frequency of the second oscillator. Despite the fundamental tradeoff between the coupling strength gg and maximum photon storage capacity of the oscillators, it is possible to achieve high fidelity detection of up to 10 photons over time scale of the order of microseconds. We discuss the possibility of observing quantum jumps in the number of photons and related applications.

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